Question

In: Statistics and Probability

Three machines M1, M2 and M3 produce nominally identical items. The evidence of the engineers past...

Three machines M1, M2 and M3 produce nominally identical items. The evidence of the engineers past experience is that 5 % of the output from machine M1 is faulty, 3.5 % of the output from machine M2 is faulty and 2.5 % of the output from machine M3 is faulty. On a given day, M1 has produced 15 % of the total output, M2 has produced 30 % and M3 the remainder.

An item selected at random is found to be faulty.

  1. Use Bayes' theorem to find the probability that it was produced by M1.
  2. Use Bayes' theorem to find the probability that it was produced by M2.
  3. Use Bayes' theorem to find the probability that it was produced by M3.

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Expert Solution

orchestra answered 1 year ago
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